The Double Discount Calculator allows you to calculate the final price after applying either two or three consecutive discounts to an original price. This tool is ideal for assessing combined discounts during promotions or special offers.

Simply enter the original price and the discount percentages to see your total savings and the final cost.

How to Calculate a Single, Double, and Triple Discount

Calculating discounts involves reducing an original price by a percentage. The process can be extended to include multiple discounts applied consecutively. Let’s explore how to calculate a single, double, and triple discount using step-by-step formulas.

Single Discount Calculation

A single discount is calculated by reducing the original price by a percentage. The formula is:

Formula:

\( \text{Final Price} = \text{Original Price} \times \left(1 – \frac{\text{Discount \%}}{100}\right) \)

 

Example: If the original price is $100 and the discount is 20%, the final price will be:

\( \text{Final Price} = 100 \times \left(1 – \frac{20}{100}\right) = 100 \times 0.80 = 80 \)

Double Discount Calculation

When applying two consecutive discounts, you calculate each discount one after the other. The formula for double discounts is:

Formula:

\( \text{Final Price} = \text{Original Price} \times \left(1 – \frac{\text{First Discount \%}}{100}\right) \times \left(1 – \frac{\text{Second Discount \%}}{100}\right) \)

 

Example: For an original price of $100, with a first discount of 20% and a second discount of 10%, the calculation is:

\( \text{Final Price} = 100 \times \left(1 – \frac{20}{100}\right) \times \left(1 – \frac{10}{100}\right) = 100 \times 0.80 \times 0.90 = 72 \)

Triple Discount Calculation

In the case of three consecutive discounts, you apply the formula for each discount in sequence:

Formula:

\( \scriptsize \text{Final Price} = \text{Original Price} \times \left(1 – \frac{\text{First Discount \%}}{100}\right) \times \left(1 – \frac{\text{Second Discount \%}}{100}\right) \times \left(1 – \frac{\text{Third Discount \%}}{100}\right) \)

 

Example: For an original price of $100 with discounts of 20%, 10%, and 5%, the calculation would be:

\( \scriptsize \text{Final Price} = 100 \times \left(1 – \frac{20}{100}\right) \times \left(1 – \frac{10}{100}\right) \times \left(1 – \frac{5}{100}\right) = 100 \times 0.80 \times 0.90 \times 0.95 = 68.40 \)

Understanding Total Savings and Final Price

After applying one or more discounts, it’s important to understand how much you save and what the final price will be. The total savings is the difference between the original price and the discounted price, and the final price is what you pay after all discounts.

Total Savings Formula:

\( \text{Total Savings} = \text{Original Price} – \text{Final Price} \)

Using the previous triple discount example with an original price of $100 and a final price of $68.40:

\( \text{Total Savings} = 100 – 68.40 = 31.60 \)

Final Price and Order of Discounts:

It’s crucial to note that the order of applying discounts affects the final price. Each discount reduces the price after the previous one has been applied, meaning a 20% discount followed by a 10% discount doesn’t equal a 30% total discount. Instead, the second discount applies to the already reduced price.

By understanding these concepts, you can easily calculate total savings and know how much you’ll pay after one or more discounts.

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